253231334400 has 528 divisors, whose sum is σ = 934395694848. Its totient is φ = 59953152000.

The previous prime is 253231334383. The next prime is 253231334401. The reversal of 253231334400 is 4433132352.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×253231334400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (253231334401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36322915 + ... + 36329885.

It is an arithmetic number, because the mean of its divisors is an integer number (1769688816).

Almost surely, 2^253231334400 is an apocalyptic number.

253231334400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253231334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467197847424).

253231334400 is an abundant number, since it is smaller than the sum of its proper divisors (681164360448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253231334400 is a wasteful number, since it uses less digits than its factorization.

253231334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7058 (or 7035 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 253231334400 its reverse (4433132352), we get a palindrome (257664466752).

The spelling of 253231334400 in words is "two hundred fifty-three billion, two hundred thirty-one million, three hundred thirty-four thousand, four hundred".